Grades 11-12 Video Solutions 2012-2012_11-12

Video Transcription

the number cube root of 2 root 2 is equal to which of the following?  So let's write out the cube root of 2 root 2 as 2 raised to some power. So this 2 right here is 2 raised to the first power. The square root of 2 is 2 raised to the 1 half power.  And then the entire thing is raised to the 1 third power. So we get that this guy is equal to this guy right here.  Well, 2 to the 1 times 2 to the 1 half is equal to 2 to the 3 halves. And then raise that to the 1 third power to get 2 to the 1 half, which is square root of 2. So we get B.

Video Summary

the number cube root of 2 root 2 is equal to which of the following? So let's write out the cube root of 2 root 2 as 2 raised to some power. So this 2 right here is 2 raised to the first power. The square root of 2 is 2 raised to the 1 half power. And then the entire thing is raised to the 1 third power. So we get that this guy is equal to this guy right here. Well, 2 to the 1 times 2 to the 1 half is equal to 2 to the 3 halves. And then raise that to the 1 third power to get 2 to the 1 half, which is square root of 2. So we get B.

Keywords

cube root

exponentiation

power

square root

calculation